Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs Quiz
The question sheet
Reveal any answer as you study-
A stem-and-leaf graph is described as a good choice when the data sets are:
- Continuous only
- Small
- Very large
- Qualitative
Reveal answer
Answer: Small
Source evidence
PDF page 80: One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The stem consists of the leading digit(s), while the leaf consists of a final significant digit. For example, 23 has stem two and leaf three. The number 432 has stem 43 and leaf two. Likewise, the number 5,432 has stem 543 and leaf two. The decimal 9.3 has stem nine and leaf three. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. Make sure the leaves show a space between values, so that the exact data values may be easily determined. The frequency of data values for each stem provides information about the shape of the distribution.
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For the number 432, what are the stem and leaf?
- Stem 3, leaf 2
- Stem 432, leaf 0
- Stem 4, leaf 32
- Stem 43, leaf 2
Reveal answer
Answer: Stem 43, leaf 2
Source evidence
PDF page 80: One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The stem consists of the leading digit(s), while the leaf consists of a final significant digit. For example, 23 has stem two and leaf three. The number 432 has stem 43 and leaf two. Likewise, the number 5,432 has stem 543 and leaf two. The decimal 9.3 has stem nine and leaf three. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. Make sure the leaves show a space between values, so that the exact data values may be easily determined. The frequency of data values for each stem provides information about the shape of the distribution.
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In a stemplot, the leaf consists of:
- The leading digits
- The decimal point
- The whole number
- A final significant digit
Reveal answer
Answer: A final significant digit
Source evidence
PDF page 80: One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The stem consists of the leading digit(s), while the leaf consists of a final significant digit. For example, 23 has stem two and leaf three. The number 432 has stem 43 and leaf two. Likewise, the number 5,432 has stem 543 and leaf two. The decimal 9.3 has stem nine and leaf three. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. Make sure the leaves show a space between values, so that the exact data values may be easily determined. The frequency of data values for each stem provides information about the shape of the distribution.
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For the decimal 9.3, the stem and leaf are:
- Stem 3, leaf 9
- Stem 9, leaf 3
- Stem 93, leaf 0
- Stem 0, leaf 93
Reveal answer
Answer: Stem 9, leaf 3
Source evidence
PDF page 80: One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The stem consists of the leading digit(s), while the leaf consists of a final significant digit. For example, 23 has stem two and leaf three. The number 432 has stem 43 and leaf two. Likewise, the number 5,432 has stem 543 and leaf two. The decimal 9.3 has stem nine and leaf three. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. Make sure the leaves show a space between values, so that the exact data values may be easily determined. The frequency of data values for each stem provides information about the shape of the distribution.
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In a stemplot, the stems are written in a vertical line from:
- Left to right
- Smallest to largest
- Largest to smallest
- Random order
Reveal answer
Answer: Smallest to largest
Source evidence
PDF page 80: One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The stem consists of the leading digit(s), while the leaf consists of a final significant digit. For example, 23 has stem two and leaf three. The number 432 has stem 43 and leaf two. Likewise, the number 5,432 has stem 543 and leaf two. The decimal 9.3 has stem nine and leaf three. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. Make sure the leaves show a space between values, so that the exact data values may be easily determined. The frequency of data values for each stem provides information about the shape of the distribution.
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An observation of data that does not fit the rest of the data is called a(n):
- Frequency
- Leaf
- Outlier
- Stem
Reveal answer
Answer: Outlier
Source evidence
PDF page 81: The stemplot is a quick way to graph data and gives an exact picture of the data. You want to look for an overall pattern and any outliers. An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes, for example, writing 50 instead of 500, while others may indicate that something unusual is happening. It takes some background information to explain outliers, so we will cover them in more detail later.
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An outlier is sometimes also called a(n):
- Leaf
- Marginal value
- Extreme value
- Frequency point
Reveal answer
Answer: Extreme value
Source evidence
PDF page 81: The stemplot is a quick way to graph data and gives an exact picture of the data. You want to look for an overall pattern and any outliers. An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes, for example, writing 50 instead of 500, while others may indicate that something unusual is happening. It takes some background information to explain outliers, so we will cover them in more detail later.
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In the supermarket distance data, which value may be an outlier?
- 12.3
- 5.5
- 3.3
- 1.1
Reveal answer
Answer: 12.3
Source evidence
PDF page 81: Solution The value 12.3 may be an outlier. Values appear to concentrate at 3 and 4 kilometers.
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In the supermarket distance data, values appear to concentrate at:
- 10 and 12 kilometers
- 1 and 2 kilometers
- 3 and 4 kilometers
- 5 and 6 kilometers
Reveal answer
Answer: 3 and 4 kilometers
Source evidence
PDF page 81: Solution The value 12.3 may be an outlier. Values appear to concentrate at 3 and 4 kilometers.
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In a side-by-side stem-and-leaf plot, the two sets of leaves:
- Use different stems
- Share the same stem
- Are on the same side
- Have no stems
Reveal answer
Answer: Share the same stem
Source evidence
PDF page 82: Problem A side-by-side stem-and-leaf plot allows a comparison of the two data sets in two columns. In a side-by-side stem-andleaf plot, two sets of leaves share the same stem. The leaves are to the left and the right of the stems. Table 2.3 and Table 2.4 show the ages of presidents at their inauguration and at their death. Construct a side-by-side stem-and-leaf plot using these data.
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In Susan Dean's precalculus scores, about what percent were in the 90s or 100?
- 8 percent
- 50 percent
- 26 percent
- 31 percent
Reveal answer
Answer: 26 percent
Source evidence
PDF page 80: The stemplot shows that most scores fell in the 60s, 70s, 80s, and 90s. Eight out of the 31 scores or approximately 26 percent were in the 90s or 100, a fairly high number of As.
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The frequency of data values for each stem provides information about the:
- Sample size only
- Outliers only
- Mean of the data
- Shape of the distribution
Reveal answer
Answer: Shape of the distribution
Source evidence
PDF page 80: One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The stem consists of the leading digit(s), while the leaf consists of a final significant digit. For example, 23 has stem two and leaf three. The number 432 has stem 43 and leaf two. Likewise, the number 5,432 has stem 543 and leaf two. The decimal 9.3 has stem nine and leaf three. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. Make sure the leaves show a space between values, so that the exact data values may be easily determined. The frequency of data values for each stem provides information about the shape of the distribution.
Statistics
Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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